dorsal/arxiv
View SchemaClassical Statistics Inherent in a Quantum Density Matrix
| Authors | A. K. Rajagopal, R. W. Rendell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504172 |
| URL | https://arxiv.org/abs/quant-ph/0504172 |
| DOI | 10.1103/PhysRevA.72.022322 |
Abstract
A density matrix formulation of classical bipartite correlations is constructed. This leads to an understanding of the appearance of classical statistical correlations intertwined with the quantum correlations as well as a physical underpinning of these correlations. As a byproduct of this analysis, a physical basis of the classical statistical correlations leading to additive entropy in a bipartite system discussed recently by Tsallis et al emerges as inherent classical spin fluctuations. It is found that in this example, the quantum correlations shrink the region of additivity in phase space.
{
"annotation_id": "6770e2d9-79fb-4ac2-8228-a0a764c285a5",
"date_created": "2026-03-02T18:02:16.412000Z",
"date_modified": "2026-03-02T18:02:16.412000Z",
"file_hash": "db71b292a712931b5d3f106b5437033abfb74afce5cfb3f3c9dbf5dd59c8458a",
"private": false,
"record": {
"abstract": "A density matrix formulation of classical bipartite correlations is\nconstructed. This leads to an understanding of the appearance of classical\nstatistical correlations intertwined with the quantum correlations as well as a\nphysical underpinning of these correlations. As a byproduct of this analysis, a\nphysical basis of the classical statistical correlations leading to additive\nentropy in a bipartite system discussed recently by Tsallis et al emerges as\ninherent classical spin fluctuations. It is found that in this example, the\nquantum correlations shrink the region of additivity in phase space.",
"arxiv_id": "quant-ph/0504172",
"authors": [
"A. K. Rajagopal",
"R. W. Rendell"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.022322",
"title": "Classical Statistics Inherent in a Quantum Density Matrix",
"url": "https://arxiv.org/abs/quant-ph/0504172"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0ea8c6f6-530d-45c0-ad37-3982695fd70b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}